FROM THE MICROSCOPIC TO THE VAN HOVE REGIME IN THE XY CHAIN OUT OF EQUILIBRIUM

DOI10.1142/S0129055X13300082zbMath1281.46060arXiv1306.3070MaRDI QIDQ2846893

Walter H. Aschbacher

Publication date: 3 September 2013

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.3070

zbMATH Keywords

entropy productionopen systemsnonequilibrium steady statenonequilibrium quantum statistical mechanicsquasifree fermionsHilbert space scattering theoryvan Hove weak coupling regime

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Applications of selfadjoint operator algebras to physics (46L60) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23)

Related Items

Thermodynamic Bethe ansatz for non-equilibrium steady states: exact energy current and fluctuations in integrable QFT

Cites Work

• Unnamed Item
• On the XY-model on two-sided infinite chain
• The Green-Kubo formula for the spin-Fermion system
• Return to equilibrium in the XY model
• Markovian master equations
• Markovian master equations. II
• Multiple phases and return to equilibrium
• Non-equilibrium steady states of the \(XY\) chain
• Natural nonequilibrium states in quantum statistical mechanics
• Two soluble models of an antiferromagnetic chain
• A remark on the strict positivity of the entropy production
• On quasifree states of CAR and Bogoliubov automorphisms
• Quantum Dynamical Systems
• Topics in Non-Equilibrium Quantum Statistical Mechanics
• Spectral Properties of Banded Toeplitz Matrices